Wolfram Function Repository
Instant-use add-on functions for the Wolfram Language
Function Repository Resource:
Simple
Plot a hypergraph defined by a list of hyperedges and isolated vertices
Contributed by:
Daniel McDonald
ResourceFunction["SimpleHypergraphPlot"][list] plots the hypergraph defined by list. |
Details and Options
The hypergraph represented by {{v11,v12,…},{v21,v22,…},…,u1,u2,…} has vertices v11,v12,…,v21,v22,…,…,u1,u2,… and hyperedges {v11,v12,…},{v21,v22,…},….
Examples
Basic Examples (1)
Plot the hypergraph having vertices a, b, c, d, e, f, g and hyperedges {a,b,c,d}, {b,c}, {c,d,e}:
| In[1]:= | ![ResourceFunction[
"SimpleHypergraphPlot"][{{a, b, c, d}, {b, c}, {c, d, e}, f, g}]](https://www.wolframcloud.com/obj/resourcesystem/images/c8c/c8cc6690-c0ce-4ac9-b1ba-6bb636045f8f/5ccf9b3e0bba46a7.png){kind=small} |
| Out[1]= |  |
Applications (2)
Define a random hypergraph having n vertices and m hyperedges:
| In[2]:= | ![RandomHypergraph[n_, m_] := With[{edges = Apply[Join, Map[Function[pos, Subsets[Range[n], {1, n}, {pos}]], RandomInteger[{1, 2^n - 1}, m]]]}, Join[edges, Complement[Range[n], Flatten[edges]]]]
rh = RandomHypergraph[15, 3]](https://www.wolframcloud.com/obj/resourcesystem/images/c8c/c8cc6690-c0ce-4ac9-b1ba-6bb636045f8f/6042f38428920c29.png) |
| Out[3]= |  |
Plot it:
| In[4]:= | ![ResourceFunction["SimpleHypergraphPlot"][rh]](https://www.wolframcloud.com/obj/resourcesystem/images/c8c/c8cc6690-c0ce-4ac9-b1ba-6bb636045f8f/1a49adac9f99253d.png){kind=small} |
| Out[4]= |  |
Related Links
Version History
- 1.0.0 – 15 November 2019
Related Resources
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License Information
This work is licensed under a Creative Commons Attribution 4.0 International License